Shrinking gradient Ricci solitons with constant scalar curvature k/2, nonnegative Ricci curvature and sectional curvature bounded by 1/(2(k-1)) are finite quotients of R^{n-k} x S^k; those with R=(n-2)/2 and vanishing Weyl curvature on level sets of f are finite quotients of R^2 x S^{n-2}.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
A note on Rigidity of Shrinking Gradient Ricci Solitons with Constant Scalar Curvature
Shrinking gradient Ricci solitons with constant scalar curvature k/2, nonnegative Ricci curvature and sectional curvature bounded by 1/(2(k-1)) are finite quotients of R^{n-k} x S^k; those with R=(n-2)/2 and vanishing Weyl curvature on level sets of f are finite quotients of R^2 x S^{n-2}.